Generalized partition functions and interpolating statistics

Abstract

We show that the assumption of quasiperiodic boundary conditions (those that interpolate continuously periodic and antiperiodic conditions) in order to compute partition functions of relativistic particles in 2+1 space-time can be related with anyonic physics. In particular, in the low temperature limit, our result leads to the well known second virial coefficient for anyons. Besides, we also obtain the high temperature limit as well as the full temperature dependence of this coefficient.

12 pages, Latex, updated and enlarged version

Cited by in corpus (5)

• On the thermodynamics of the 2+1 dimensional Gross-Neveu model with complex chemical potential
• On the Free-Energy of Three-Dimensional CFTs and Polylogarithms
• Generalized partition functions, interpolating statistics and higher virial coefficients
• The effect of a topological gauge field on Bose-Einstein condensation
• Virial coefficients from 2+1 dimensional QED effective actions at finite temperature and density